A strategy for multiple removal consists of estimating a model of the multiples and then adaptively subtracting this model from the data by estimating shaping filters. A possible and efficient way of computing these filters is by minimizing the difference or misfit between the input data and the filtered multiples in a least-squares sense. Therefore, the signal is assumed to have minimum energy...

We demonstrate for the first time that seismic resonant multiples, usually considered as noise, can be used for super-resolution imaging in the far-field region of sources and receivers. Tests with both synthetic data and field data show that resonant multiples can image reflector boundaries with resolutions more than twice the classical resolution limit. Resolution increases with the order of ...

There has been a significant increase in the number of twins and higher multiples so that one child in 33 is now a multiple. It is therefore not unusual for schools to have several sets of twins, as well as triplets and even higher multiples. By being the same age and in the same school year if not class, twins and higher multiples are not like brothers and sisters born closely together. Teache...

A shot-profile migration algorithm is modified to image multiple reflections at their correct location in the subsurface. This method replaces the impulsive source with an areal source made of recorded primaries and multiples. In addition, the extrapolated wavefield at the receivers consists of recorded multiples only which have been previously separated from the primaries. Migration results wi...

Pattern-based signal/noise separation is a common technique to suppress multiples. It can be formulated in the t x domain using non-stationary Prediction Error Filters (PEF). One can obtain a kinematically correct model of the multiples by downward continuation. The CMP gather and the corresponding multiple estimate are characterized by a space varying PEF. After applying a simple separation te...

Proof. First, we’ll give an intuitive proof. Let b > 0 be given. Mark off multiples of b on the number line. The integer a will fall between two different multiples. qb is the smaller multiple, and r is the distance from qb to a. Clearly the choices of q and r are unique. Why we need the well-ordering principle: it’s not clear that a will fall between two different multiples of b if the numbers...

Marchenko imaging can produce seismic reflection images in which artifacts related to multiples are suppressed. However, in state-of-the-art implementations, multiples do not contribute to the imaged reflectors. With an “event-byevent” deconvolution imaging approach, it is possible to use multiples in Marchenko imaging. We illustrate this for a 1D reflection response in which the primary reflec...

This study presents and tests an approach for estimating the potential price of equity investments, which are not (yet) traded in a market. In practice, multiples derived from comparable companies that are traded and priced in the market are frequently used as a point of reference. The accuracy of those multiples can be empirically assessed by comparing the pricing result for a company with an ...

BACKGROUND A European multicenter study (Surveillance of Cerebral Palsy in Europe, SCPE) was used to describe changes over time in multiple birth rates and cerebral palsy (CP) rates among multiple born infants, to compare CP rates and clinical types between multiples and singletons, and to analyse the influence of birth order in twins. METHODS Data were collected from 12 European population-b...